• Journal of applied mathematics & informatics
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• 제35권3_4호
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• pp.217-230
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• 2017

In this paper we deal with the difference equation $$y_{n+1}=\frac{ay_{n-1}}{by_ny_{n-1}+cy_{n-1}y_{n-2}+d}$$, $$n{\in}\mathbb{N}_0$$, where the coefficients a, b, c, d are positive real numbers and the initial conditions $y_{-2}$, $y_{-1}$, $y_0$ are nonnegative real numbers. Here, we investigate global asymptotic stability, periodicity, boundedness and oscillation of positive solutions of the above equation.

• 대한수학회보
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• 제60권5호
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• pp.1181-1199
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• 2023

For solving complex symmetric positive definite linear systems, we propose a single step real-valued (SSR) iterative method, which does not involve the complex arithmetic. The upper bound on the spectral radius of the iteration matrix of the SSR method is given and its convergence properties are analyzed. In addition, the quasi-optimal parameter which minimizes the upper bound for the spectral radius of the proposed method is computed. Finally, numerical experiments are given to demonstrate the effectiveness and robustness of the propose methods.

• Animal Bioscience
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• 제34권12호
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• pp.1995-2002
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• 2021

Objective: Detection of adulteration in processed meats is an important issue for some countries due to substitution of beef with a cheaper source of protein like poultry. In this study, the presence of chicken meat was investigated using real-time polymerase chain reaction (real-time PCR) and enzyme-linked immunosorbent assay (ELISA) techniques to verify adulteration of fermented sausage samples. Methods: A total of 60 commercial samples were collected from 20 establishments in three replicates including 10 fermented sausage manufacturers and 10 butchers to investigate the presence of chicken meat with the sequential use of real-time PCR and ELISA techniques. In addition, pH, moisture content, water activity and color values of the samples were determined. Results: Both real-time PCR and ELISA showed agreement on the presence or absence of chicken meat in 55 out of 60 fermented sausage samples and chicken meat was identified with both methods in 16 samples. Five samples produced inconsistent results for the presence of chicken meat in the first run. Nevertheless, the presence of chicken meat was verified with both methods when these samples were analyzed for the second time. In addition, the average physico-chemical values of the fermented sausage samples tested positive for chicken meat were not significantly different from some of those fermented sausage samples tested negative for the chicken meat. Conclusion: The sequential use of real-time PCR and ELISA techniques in fermented sausages could be beneficial for the government testing programs to eliminate false negatives for detection of adulteration with chicken meat. Furthermore, consumers should not rely on some of the quality cues including color to predict the adulteration of fermented sausages with chicken meat since there were no statistical differences among some of the samples tested positive and negative for chicken meat.

• 대한수학회보
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• 제56권2호
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• pp.305-318
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• 2019

A sign pattern is a matrix whose entries belong to the set {+, -, 0}. An n-by-n sign pattern ${\mathcal{A}}$ is said to allow an eventually positive matrix or be potentially eventually positive if there exist at least one real matrix A with the same sign pattern as ${\mathcal{A}}$ and a positive integer $k_0$ such that $A^k>0$ for all $k{\geq}k_0$. Identifying the necessary and sufficient conditions for an n-by-n sign pattern to be potentially eventually positive, and classifying the n-by-n sign patterns that allow an eventually positive matrix are two open problems. In this article, we focus on the potential eventual positivity of broom sign patterns. We identify all the minimal potentially eventually positive broom sign patterns. Consequently, we classify all the potentially eventually positive broom sign patterns.

• 대한수학회지
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• 제52권2호
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• pp.269-331
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• 2015

For a fixed positive integer g, we let $\mathcal{P}_g=\{Y{\in}\mathbb{R}^{(g,g)}{\mid}Y=^tY>0\}$ be the open convex cone in the Euclidean space $\mathbb{R}^{g(g+1)/2}$. Then the general linear group GL(g, $\mathbb{R}$) acts naturally on $\mathcal{P}_g$ by $A{\star}Y=AY^tA(A{\in}GL(g,\mathbb{R}),\;Y{\in}\mathcal{P}_g)$. We introduce a notion of polarized real tori. We show that the open cone $\mathcal{P}_g$ parametrizes principally polarized real tori of dimension g and that the Minkowski modular space 𝔗g = $GL(g,\mathbb{Z}){\backslash}\mathcal{P}_g$ may be regarded as a moduli space of principally polarized real tori of dimension g. We also study smooth line bundles on a polarized real torus by relating them to holomorphic line bundles on its associated polarized real abelian variety.

• 대한수학회보
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• 제20권1호
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• pp.15-25
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• 1983

The main purpose of the present paper is to generalize the results obtained by A. Hindmarsh in [7] to the holomorphic functions with non-negative real part defined on a complete circular domain D in certain class D in the complex euclidean space $C^{n}$. As described in .cint.2, D includes the bounded symmetric domains.s.

• East Asian mathematical journal
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• 제32권5호
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• pp.621-633
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• 2016

We establish the existence of positive solutions to nonlocal boundary value problems with integral boundary condition and non-negative real boundary parameter by mainly using the Schauder-Fixed point theorem.

• Journal of applied mathematics & informatics
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• 제18권1_2호
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• pp.229-234
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• 2005

The boundedness, global attractivity, oscillatory and asymptotic periodicity of the positive solutions of the difference equation of the form $x_{n+l} =\alpha+\frac{x_{n-1}^{p}}{x_{n}^{p}},\;\; n = 0, 1, ...$ is investigated, where all the coefficients are nonnegative real numbers.

• Pediatric Infection and Vaccine
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• 제23권3호
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• pp.194-201
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• 2016

목적: 폐렴구균은 주요 비인두 상재균으로, 주위 조직을 침범하여 침습성 감염을 일으킬 수 있어 보균율에 대한 감시가 중요하다. 본 연구에서는 임상에서 비인두 흡인물로부터 추출하고 남은 RNA를 이용하여 폐렴구균을 확인할 수 있는 실시간 중합효소 연쇄반응(real-time reverse transcription polymerase chain reaction [RT-PCR])법을 구축하고, 보균율 측정에 있어서의 정확성과 이점을 확인하고자 하였다. 방법: 2014년 9월부터 10월까지 중앙대학교병원에 입원하여 호흡기 바이러스 RT-PCR 검사를 시행받은 18세 이하의 소아들로부터 비인두 흡인물을 채취하였다. 먼저 배양법과 genomic DNA (gDNA)를 이용한 real-time PCR을 시행하여 폐렴구균 검출률의 정확성을 확인하였다. 이 중 처음 20개의 검체를 이용하여, 고전적인 배양법과 gDNA를 이용한 real-time PCR, 그리고 RNA를 이용한 real-time RT-PCR법을 시행하고 이를 비교 분석하였다. 결과: 총 157개의 검체에서 시행한 real-time PCR 검사는 기존의 배양검사와 일치율이 0.922 (P<0.01, Fisher exact test)로 매우 높았다. 배양검사에서 음성인 133개의 검체는 real-time PCR에서도 모두 음성을 보였다. 24개의 배양 양성 검체 중 21개의 검체는 real-time PCR에서도 양성이었지만, 나머지 검체는 음성 결과를 보였다. 20개의 검체에서 시행한 real-time RT-PCR 검사는 1개 검체를 제외하고 배양법 및 real-time PCR과 결과가 일치하였다. 한편, 배양법을 시행하고 결과를 확인하기까지는 총 26.5시간, real-time RT-PCR 검사에는 총 4.5시간이 소요되었다. 결론: 본 연구는 비인두 집락균 확인을 위한 real-time RT-PCR법의 확립과, 폐렴구균 보균율 측정에 있어서의 real-time RT-PCR 검사의 정확성 및 편의성을 보여주었다. Real-time RT-PCR 검사법은 주요 세균들의 보균율 연구에 있어서 시간과 노력을 줄일 수 있는 좋은 방법이며, 폐렴구균의 역학자료 수집에 큰 도움이 될 것으로 기대한다.

• The Journal of Asian Finance, Economics and Business
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• 제4권1호
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• pp.19-23
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• 2017

Based on a simultaneous-equation model consisting of aggregate demand and short-run aggregate supply, this paper estimates a reduced-form equation specifying that the equilibrium real GDP is a function of the real effective exchange rate, the government deficit as a percent of GDP, the real interest rate, foreign income, labor productivity, the real oil price, the expected inflation rate, and the interactive and intercept binary variables accounting for a potential change in the slope of the real effective exchange rate and shift in the intercept. Applying the exponential GARCH technique, it finds that aggregate output in Australia has a positive relationship with the real effective exchange rate during 2003.Q3 - 2013.Q2, the government deficit as a percent of GDP, U.S. real GDP, labor productivity and the real oil price and a negative relationship with the real effective exchange rate during 2013.Q3 - 2016.Q1, the real lending rate and the expected inflation rate. These results suggest that real appreciation was expansionary before 2013.Q3 whereas real depreciation was expansionary after 2013.Q2 and that more government deficit as a percent of GDP would be helpful to stimulate the economy. Hence, the impact of real appreciation or real depreciation on real GDP may change overtime.